This article is cited in 1 paper

On the absence of global solutions of a system of ordinary differential equations

A. A. Kon'kov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

Abstract: Conditions for the absence of global solutions of a system of nonlinear ordinary differential equations are found. Examples showing that these conditions are sharp are given.
Bibliography: 12 titles.

Keywords: systems of nonlinear ordinary differential equations, blow-up, estimates for solutions.

MSC: 34C11

Received: 02.03.2021 and 24.08.2021

DOI: 10.4213/sm9571

 English version: Sbornik: Mathematics, 2022, 213:3, 319–340

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